29 mai 2017 à 2 juin 2017
TOULOUSE
Fuseau horaire Europe/Paris

Proper actions of Lie groups and higher APS index theory

30 mai 2017, 16:55
45m
Amphi Schwartz IMT building 1R3 (TOULOUSE)

Amphi Schwartz IMT building 1R3

TOULOUSE

Paul Sabatier University

Orateur

M. Hessel Posthuma

Description

In this talk I’ll report on joint work in progress with Paolo Piazza about higher APS index theory in the presence of a Lie group symmetry. I will first review the higher index theorem for proper, co-compact Lie group actions on closed manifolds. After that I will consider the generalization to the APS-setting where the manifold has a boundary and is equipped with a Dirac operator which is invariant under the action of the group. The higher indices of this operator are associated to smooth group cocycles and defined via the pairing of (relative) K-theory with (relative) cyclic cohomology. Comparing with the case of closed manifolds, I will explain how the APS setting differs from it and requires a much more involved analysis.

Documents de présentation

Aucun document.